A CYCLIC AND SIMULTANEOUS ITERATIVE ALGORITHM FOR THE MULTIPLE SPLIT COMMON FIXED POINT PROBLEM OF DEMICONTRACTIVE MAPPINGS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 51, Issue 5, 2014, pp.1527-1538
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2014.51.5.1527

Title & Authors

A CYCLIC AND SIMULTANEOUS ITERATIVE ALGORITHM FOR THE MULTIPLE SPLIT COMMON FIXED POINT PROBLEM OF DEMICONTRACTIVE MAPPINGS

Tang, Yu-Chao; Peng, Ji-Gen; Liu, Li-Wei;

Tang, Yu-Chao; Peng, Ji-Gen; Liu, Li-Wei;

Abstract

The purpose of this paper is to address the multiple split common fixed point problem. We present two different methods to approximate a solution of the problem. One is cyclic iteration method; the other is simultaneous iteration method. Under appropriate assumptions on the operators and iterative parameters, we prove both the proposed algorithms converge to the solution of the multiple split common fixed point problem. Our results generalize and improve some known results in the literatures.

Keywords

demicontractive mappings;cyclic;simultaneous;split common fixed point;

Language

English

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